Hessian measures in the class of m-convex (m 􀀀 cv) functions

dc.contributor.authorIsmoilov, M.B.
dc.contributor.authorSharipov, R.A.
dc.date.accessioned2024-12-14T06:59:31Z
dc.date.available2024-12-14T06:59:31Z
dc.date.issued2024-09-30
dc.description.abstractThe theory of m-convex (m􀀀 cv) functions is a new direction in the real geometry. In this work, by using the connection m 􀀀 cv functions with strongly m-subharmonic (shm) functions and using well-known and rich properties of shm functions, we show a number of important properties of the class of m􀀀cv functions, in particular, we study Hessians Hk(u); k = 1; 2; :::; n 􀀀 m + 1; in the class of bounded m 􀀀 cv functions.ru_RU
dc.identifier.citationIsmoilov M.B. Hessian measures in the class of m-convex (m 􀀀 cv) functions/M.B. Ismoilov, R.A. Sharipov//Қарағанды университетінің хабаршысы. Математика сериясы= Вестник Карагандинского университета. Серия математики= Bulletin of the Karaganda university. Mathematics series. -2024. №3. Р93-100.ru_RU
dc.identifier.urihttps://rep.buketov.edu.kz//handle/data/19249
dc.language.isoenru_RU
dc.publisherKaragandy University of the name of academician E.A. Buketovru_RU
dc.relation.ispartofseriesҚарағанды университетінің хабаршысы. Математика сериясы= Вестник Карагандинского университета. Серия математики= Bulletin of the Karaganda university. Mathematics series.;№3(115)/2024
dc.subjectConvex functionru_RU
dc.subjectm-convex functionru_RU
dc.subjectStrongly m-subharmonic functionru_RU
dc.subjectBorel measuresru_RU
dc.subjectHessiansru_RU
dc.titleHessian measures in the class of m-convex (m 􀀀 cv) functionsru_RU
dc.typeArticleru_RU

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